A374817 -id:A374817 - cp's OEIS frontend

A374818 Inverse permutation to A374817.

1, 2, 3, 4, 6, 5, 7, 11, 12, 8, 9, 17, 21, 18, 10, 13, 24, 30, 31, 25, 14, 15, 32, 42, 46, 43, 33, 16, 19, 38, 53, 61, 62, 54, 39, 20, 22, 47, 67, 77, 85, 78, 68, 48, 23, 26, 55, 79, 96, 104, 105, 97, 80, 56, 27, 28, 63, 92, 114, 128, 132, 129, 115, 93, 64, 29

Offset: 1

Rémy Sigrist, Jul 21 2024

nonn

			A374817(42) = 24, so a(24) = 42.

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A374817.

PARI
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A374799 Irregular table T(n, k), n >= 0, k = 1..A048883(n), read by rows; the n-th row lists the numbers m such that A003986(m) = n.

Original entry on oeis.org

0, 1, 2, 4, 3, 5, 12, 6, 7, 8, 9, 11, 13, 17, 18, 24, 10, 14, 40, 15, 16, 19, 20, 22, 26, 49, 50, 60, 21, 23, 25, 27, 38, 42, 59, 61, 84, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 43, 47, 48, 51, 52, 58, 62, 70, 71, 72, 73, 83, 85, 97, 98, 112, 36, 44, 144

Offset: 0

Rémy Sigrist, Jul 20 2024

A003986 corresponds to a square array, but we consider it here as a flat sequence (when its values are read according along its antidiagonals).

As a flat sequence, this is a permutation of the nonnegative integers with inverse A374800.

			Table T(n, k) begins:
     n  n-th row
     -  --------
     0  0,
     1  1, 2, 4;
     2  3, 5, 12;
     3  6, 7, 8, 9, 11, 13, 17, 18, 24;
     4  10, 14, 40;
     5  15, 16, 19, 20, 22, 26, 49, 50, 60;
     6  21, 23, 25, 27, 38, 42, 59, 61, 84;
        ...

Rémy Sigrist, Table of n, a(n) for n = 0..16383
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

See A374817 for a similar sequence.

Cf. A000217, A003986, A046092, A048883, A374800 (inverse).

PARI
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T(n, 1) = A000217(n).

T(n, A048883(n)) = A046092(n).

cp's OEIS Frontend

A374818 Inverse permutation to A374817.

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